{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread('1.png')\n",
    "plt.imshow(img[:, :, ::-1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_f = np.fft.fft2(img)\n",
    "img_ac = np.fft.ifft2(np.abs(img_f) ** 2)\n",
    "img_ac = np.fft.fftshift(img_ac)\n",
    "img_ac_show = abs(img_ac)\n",
    "img_ac_show = img_ac_show / img_ac_show.max() * 255\n",
    "\n",
    "cv2.imshow('auto correlation', img_ac_show)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
